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Calogero-Moser space and Kostka polynomials

表示论 2007-05-23 v2 代数几何 量子代数

摘要

We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n by n matrices to their eigenvalues. We show that the character of a natural C^*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials.

引用

@article{arxiv.math/0110190,
  title  = {Calogero-Moser space and Kostka polynomials},
  author = {Michael Finkelberg and Victor Ginzburg},
  journal= {arXiv preprint arXiv:math/0110190},
  year   = {2007}
}

备注

12pp., LaTeX